203378193552768 has 512 divisors, whose sum is σ = 613884313728000. Its totient is φ = 59213488029696.

The previous prime is 203378193552733. The next prime is 203378193552841. The reversal of 203378193552768 is 867255391873302.

It is a super-2 number, since 2×203378193552768² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7051200555 + ... + 7051229397.

It is an arithmetic number, because the mean of its divisors is an integer number (1198992800250).

Almost surely, 2^{203378193552768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203378193552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306942156864000).

203378193552768 is an abundant number, since it is smaller than the sum of its proper divisors (410506120175232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203378193552768 is a wasteful number, since it uses less digits than its factorization.

203378193552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29874 (or 29862 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 203378193552768 in words is "two hundred three trillion, three hundred seventy-eight billion, one hundred ninety-three million, five hundred fifty-two thousand, seven hundred sixty-eight".